{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8.1. Exercise: Probing Type I and Type II neuron models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import brian2 as b2\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from neurodynex3.tools import input_factory, plot_tools, spike_tools\n",
    "from neurodynex3.neuron_type import neurons\n",
    "\n",
    "# create an input current\n",
    "input_current = input_factory.get_step_current(50, 150, 1.*b2.ms, 0.5*b2.pA)\n",
    "\n",
    "# get one instance of class NeuronX and save that object in the variable 'a_neuron_of_type_X'\n",
    "a_neuron_of_type_X = neurons.NeuronX()  # we do not know if it's type I or II\n",
    "# simulate it and get the state variables\n",
    "state_monitor = a_neuron_of_type_X.run(input_current, 200*b2.ms)\n",
    "# plot state vs. time\n",
    "neurons.plot_data(state_monitor, title=\"Neuron of Type X\")\n",
    "\n",
    "# get an instance of class NeuronY\n",
    "a_neuron_of_type_Y = neurons.NeuronY()  # we do not know if it's type I or II\n",
    "state_monitor = a_neuron_of_type_Y.run(input_current, 200*b2.ms)\n",
    "neurons.plot_data(state_monitor, title=\"Neuron of Type Y\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8.1.1. Question: Estimating the threshold\n",
    "What is the threshold current for repetitive firing for NeuronX and NeuronY?\n",
    "\n",
    "Exploring various values of I_amp, find the range in which the threshold occurs, to a precision of 0.01.\n",
    "\n",
    "Plot the responses to step current which starts after 100ms (to let the system equilibrate) and lasting at least 1000ms (to detect repetitive firing with a long period). You can do this by modifying the code example given above. Make sure to check the documentation of the functions you use: input_factory.get_step_current(), neuron_type.neurons.run() and neuron_type.neurons.plot_data().\n",
    "\n",
    "Already from the voltage response near threshold you might have an idea which is type I or II, but let’s investigate further."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.1028 0.144  0.1835 0.223  0.2625 0.302  0.3415 0.381  0.4205 0.46\n",
      " 0.4995 0.539  0.5785 0.618  0.6575 0.6969 0.7364 0.7759 0.8154 0.8549\n",
      " 0.8944 0.9339 0.9734 1.0129 1.0524 1.0919] s\n",
      "<class 'brian2.units.fundamentalunits.Quantity'>\n",
      "nr of spikes: 26\n",
      "mean ISI: 39.564 ms\n",
      "ISI variance: 0.111904 ms^2\n",
      "spike freq: 25.27550298 Hz\n",
      "spike times: too many values\n",
      "ISI: too many values\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(array([0.1028, 0.144 , 0.1835, 0.223 , 0.2625, 0.302 , 0.3415, 0.381 ,\n",
       "        0.4205, 0.46  , 0.4995, 0.539 , 0.5785, 0.618 , 0.6575, 0.6969,\n",
       "        0.7364, 0.7759, 0.8154, 0.8549, 0.8944, 0.9339, 0.9734, 1.0129,\n",
       "        1.0524, 1.0919]) * second,\n",
       " array([41.2, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5,\n",
       "        39.5, 39.5, 39.5, 39.4, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5, 39.5,\n",
       "        39.5, 39.5, 39.5]) * msecond,\n",
       " 39.564 * msecond,\n",
       " 25.27550298 * hertz,\n",
       " 0.111904 * msecond2)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "spike_threshold= 1*b2.mV # it's a Quantity 0-2?  -50\n",
    "\n",
    "#input_factory.get_step_current(100, 110, 1*b2.ms, 0.5*b2.pA)  1000*b2.ms\n",
    "input_current = input_factory.get_step_current(100, 1100, 1.*b2.ms, 0.5*b2.pA)\n",
    "# get one instance of class NeuronX and save that object in the variable 'a_neuron_of_type_X'\n",
    "a_neuron_of_type_X = neurons.NeuronX() \n",
    "# simulate it and get the state variables\n",
    "state_monitor = a_neuron_of_type_X.run(input_current, 1200*b2.ms)\n",
    "spike_times = spike_tools.get_spike_time(state_monitor,spike_threshold)\n",
    "print(spike_times)\n",
    "print(type(spike_times))  # it's a Quantity\n",
    "\n",
    "spike_tools.pretty_print_spike_train_stats(state_monitor,spike_threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.1028 0.144  0.1835 0.223  0.2625 0.302  0.3415 0.381  0.4205 0.46\n",
      " 0.4995 0.539  0.5785 0.618  0.6575 0.6969 0.7364 0.7759 0.8154 0.8549\n",
      " 0.8944 0.9339 0.9734 1.0129 1.0524 1.0919] s\n",
      "25.27550298 Hz\n"
     ]
    }
   ],
   "source": [
    "def get_firing_rate(neuron, input_current, spike_threshold=0*b2.mV):\n",
    "    f=0\n",
    "    # inject a test current into the neuron and call it's run() function.\n",
    "    a_neuron_of_type_X = neurons.NeuronX() \n",
    "    state_monitor = a_neuron_of_type_X.run(input_current,1200*b2.ms)\n",
    "    # get the spike times using spike_tools.get_spike_times\n",
    "    st = spike_tools.get_spike_time(state_monitor,spike_threshold)\n",
    "    print(st)\n",
    "    # from the spike times, calculate the firing rate f\n",
    "    isi = st[1:]-st[:-1]\n",
    "    if len(isi) >0:\n",
    "        f=1/np.mean(isi)\n",
    "    return f\n",
    "\n",
    "spike_firing_rate = get_firing_rate(a_neuron_of_type_X, input_current, spike_threshold)\n",
    "print(spike_firing_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a_neuron_of_type_X is : Type II\n",
      "[1.3] ms\n",
      "[ 1.3 40.  79.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.9] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.5 751.  790.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.5 751.  790.5 830.  869.5 909. ] ms\n",
      "[0.0013 0.04   0.0795 0.119  0.1585 0.198  0.2375 0.277  0.3165 0.356\n",
      " 0.3955 0.435  0.4745 0.514  0.5535 0.593  0.6325 0.672  0.7115 0.751\n",
      " 0.7905 0.83   0.8695 0.909  0.9485 0.988 ] s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a_neuron_of_type_Y is : Type I\n",
      "[1.3] ms\n",
      "[ 1.3 40.  79.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593. ] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.9] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.5 751.  790.5] ms\n",
      "[  1.3  40.   79.5 119.  158.5 198.  237.5 277.  316.5 356.  395.5 435.\n",
      " 474.5 514.  553.5 593.  632.5 672.  711.5 751.  790.5 830.  869.5 909. ] ms\n",
      "[0.0013 0.04   0.0795 0.119  0.1585 0.198  0.2375 0.277  0.3165 0.356\n",
      " 0.3955 0.435  0.4745 0.514  0.5535 0.593  0.6325 0.672  0.7115 0.751\n",
      " 0.7905 0.83   0.8695 0.909  0.9485 0.988 ] s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "def plot_fI_curve(Neuron):#NeuronClass\n",
    "\n",
    "    plt.figure()  # new figure\n",
    "\n",
    "    #neuron = NeuronClass()  # instantiate the neuron class\n",
    "    if Neuron == a_neuron_of_type_X:\n",
    "        neuron = neurons.NeuronX()\n",
    "    elif Neuron == a_neuron_of_type_Y:\n",
    "        neuron = neurons.NeuronX()\n",
    "        \n",
    "\n",
    "    I = np.arange(0.0,1.1,0.1)  # a range of current inputs\n",
    "    f = []\n",
    "\n",
    "    # loop over current values\n",
    "    for I_amp in I:\n",
    "\n",
    "        input_current = input_factory.get_step_current(0, int((I_amp+0.01)*1000), 1.*b2.ms, 0.5*b2.pA)\n",
    "        firing_rate = get_firing_rate(neuron, input_current, spike_threshold=1*b2.mV)\n",
    "        f.append(firing_rate)\n",
    "        \n",
    "    #\n",
    "    #firing_rate = get_firing_rate(neuron, input_current, spike_threshold=1*b2.mV)\n",
    "\n",
    "    plt.plot(I, f)\n",
    "    #plt.plot(input_current, firing_rate)\n",
    "    plt.xlabel('Amplitude of Injecting step current (pA)')\n",
    "    plt.ylabel('Firing rate (Hz)')\n",
    "    plt.grid()\n",
    "    plt.show()\n",
    "\n",
    "print(\"a_neuron_of_type_X is : {}\".format(a_neuron_of_type_X.get_neuron_type()))\n",
    "plot_fI_curve(a_neuron_of_type_X)\n",
    "print(\"a_neuron_of_type_Y is : {}\".format(a_neuron_of_type_Y.get_neuron_type()))\n",
    "plot_fI_curve(a_neuron_of_type_Y)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
